Mach Stem Height and Growth Rate Predictions

Mouton, Christopher A.; Hornung, H. G.

doi:10.2514/1.27460

Cited by 53 publications

(73 citation statements)

References 11 publications

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“…Related research can still be found in the recent literature. [2][3][4][5][6] In the present work, an abnormal MR configuration of asymmetric shock waves is computationally confirmed over a double-wedge geometry ͑Fig. …”

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confidence: 53%

Computational confirmation of an abnormal Mach reflection wave configuration

Wang

Zhang

et al. 2009

Physics of Fluids

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For the Mach reflection ͑MR͒ of symmetric shock waves of opposite families, only the wave configuration of an overall Mach reflection ͑oMR͒ consisting of two direct Mach reflections ͑DiMR+ DiMR͒ is theoretically admissible. For asymmetric shock waves, an oMR composed of a DiMR and an inverse Mach reflection ͑InMR͒ is possible if the two slip layers assemble a converging-diverging stream tube, while an oMR including two inverse Mach reflections ͑InMR + InMR͒ is absolutely impossible. In this paper, an overall Mach reflection configuration with double inverse MR patterns is computationally confirmed using the computational fluid dynamics technique. The aerodynamic mechanism behind such an abnormal wave pattern is illustrated. Classical two-and three-shock theories are also applied for the theoretical analysis. © 2009 American Institute of Physics. ͓DOI: 10.1063/1.3073006͔The shock wave interactions have significant impacts on the performance and reliability of a supersonic/hypersonic aircraft or a winged space shuttle during its re-entry flight. The study on shock interactions can be traced back to 1878 when Ernst Mach found two well known shock wave reflection configurations: a regular reflection ͑RR͒ and a Mach reflection ͑MR͒, which consists of a Mach stem, an incident shock, a reflected shock, and a slip layer. von Neumann 1 introduced the criteria for the RR↔ MR transition of symmetric shock waves: the von Neumann and detachment criteria. Theoretically, MR is impossible below the former, while RR is inadmissible beyond the latter. Both RR and MR are admissible between the criteria. Related research can still be found in the recent literature. [2][3][4][5][6] In the present work, an abnormal MR configuration of asymmetric shock waves is computationally confirmed over a double-wedge geometry ͑Fig.

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supporting

confidence: 53%

Computational confirmation of an abnormal Mach reflection wave configuration

Wang

Zhang

et al. 2009

Physics of Fluids

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“…In comparison to the work of Mouton & Hornung (2007), we will include more fine structures than a single unsteady MR during transition and introduce a more accurate model to describe the evolution of the triple-shock structure. Inspired by the numerical simulation of Kudryavtsev et al (2002), we will perform more refined numerical simulations to identify a multiple shock interaction structure preceding the pure unsteady MR structure.…”

Section: Introductionmentioning

confidence: 99%

“…Mouton & Hornung (2007) assumed that the flow during transition contains only a single but evolutionary MR, which The symbols i, r and s refer to incident shock wave, reflected shock wave and slipline, respectively. R c refers to the major expansion fan (from the corner R).…”

Section: Introductionmentioning

confidence: 99%

Time history of regular to Mach reflection transition in steady supersonic flow

Gao

2011

J. Fluid Mech.

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In this paper, we study the transition from regular to Mach reflection (RR → MR) in the dual solution domain due to the influence of an upstream disturbance, by considering the transition as an evolutionary rather than an abrupt process. From numerical simulation, we observe for the early stage of transition a multiple interaction structure, composed of a triple-shock structure, a type VI shock interaction and a shock/slipline interaction. In the end, we observe a pure unsteady MR structure. Under self-similar assumption of the triple point for the first stage and including additional Mach waves over the slipline for the last stage, we develop an idealized unsteady model to obtain the evolution of the Mach stem height and the time taken for the Mach stem to stabilize. The triple point is found to move at a nearly constant speed in the multiple interaction stage which occupies about one quarter of the transition time. In the pure unsteady MR stage, which occupies the rest of transition, the speed of the triple point drops nonlinearly until the Mach stem stabilizes.

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“…However, he first determined the height of the Mach stem theoretically by making some assumptions about the structure of a Mach reflection, see [22]. This prediction turned out to be remarkably accurate, as may be seen in Fig.…”

Section: Caltech Stability Experimentsmentioning

confidence: 99%

Mach reflection in steady flow. I. Mikhail Ivanov's contributions, II. Caltech stability experiments

Hornung¹

2014

AIP Conference Proceedings

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Abstract. To honor the memory of our friend and colleague Mikhail Ivanov a review of his great contributions to the understanding of the various phenomena associated with steady-flow shock wave reflection is presented. Of course, he has contributed much more widely than that, but I will restrict myself to this part of his work, because it is what I understand best. In particular, his computational and experimental demonstration of hysteresis in the transition between regular and Mach reflection, and his resolution of the difficulties associated with the triple point in weak Mach reflection in terms of the effects of viscosity and heat conduction are reviewed. Finally, some experimental results are presented that demonstrate that, in the dual-solution domain, Mach reflection is more stable than regular reflection.

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Mach Stem Height and Growth Rate Predictions

Cited by 53 publications

References 11 publications

Computational confirmation of an abnormal Mach reflection wave configuration

Computational confirmation of an abnormal Mach reflection wave configuration

Time history of regular to Mach reflection transition in steady supersonic flow

Mach reflection in steady flow. I. Mikhail Ivanov's contributions, II. Caltech stability experiments

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